Am. Naguib et al., Stochastic estimation and flow sources associated with surface pressure events in a turbulent boundary layer, PHYS FLUIDS, 13(9), 2001, pp. 2611-2626
The ability of stochastic estimation to capture the conditional streamwise
velocity field associated with wall-pressure events was investigated using
simultaneous hot-wire and microphone measurements over the Reynolds number
range: 1437 less than or equal to Re(theta)less than or equal to 5670. The
velocity measurements were conducted at the same streamwise and spanwise lo
cation as the wall-mounted microphone but at various heights in the boundar
y layer, spanning the buffer and logarithmic regions. The results show that
utilization of the wall-pressure as the event for the stochastic estimatio
n requires the inclusion of both the linear and quadratic terms in order to
provide an accurate representation of the conditional velocity field. The
need for the inclusion of the quadratic term, which is unlike published res
ults based on velocity and Reynolds stress events in wall-bounded flows, is
attributed to the influences of the turbulent-turbulent pressure source te
rm. Additionally, examination of the energy content of the quadratic compon
ent of the stochastic estimation and its Reynolds number scaling suggests t
hat the quadratic term is associated with motions that scale with the bound
ary layer thickness. (C) 2001 American Institute of Physics.